Finite Group Databasebeta

← Group #9838

Character table — Group #9838

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order1222222244444444444488888888888888888888888822444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-111-1-1111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-1
χ101-1-111-1-1111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11
χ111-1-111-1-1111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1i−i−ii-11
χ121-1-111-1-1111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11−iii−i1-1
χ131-1-111-1-1111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1−iii−i-11
χ141-1-111-1-1111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11i−i−ii1-1
χ151-1-111-1-1111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-1
χ161-1-111-1-1111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11
χ172222222222-2-2-2-2-2-222-2-20000000022-2-222-2-20000000000000000
χ182222222222-2-2-2-2-2-222-2-200000000-2-222-2-2220000000000000000
χ1922222222-2-222-2-222-2-2-2-2000000000000000022-2-222-2-200000000
χ2022222222-2-222-2-222-2-2-2-20000000000000000-2-222-2-22200000000
χ2122222222-2-2-2-222-2-2-2-22222-2-222-2-2000000000000000000000000
χ2222222222-2-2-2-222-2-2-2-222-2-222-2-222000000000000000000000000
χ2322-22-22-2-2002-2002-20000i2−i2i2−i2i2−i2i2−i22−22−22−22−2002i−2i002i−2i00000000
χ2422-22-22-2-2002-2002-20000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200−2i2i00−2i2i00000000
χ2522-22-22-2-2002-2002-20000−i2i2−i2i2−i2i2−i2i22−22−22−22−200−2i2i00−2i2i00000000
χ2622-22-22-2-2002-2002-20000−i2i2−i2i2−i2i2−i2i2−22−22−22−22002i−2i002i−2i00000000
χ2722-22-22-2-200-2200-220000i2−i2−i2i2i2−i2−i2i22−2−222−2−222i−2i002i−2i0000000000
χ2822-22-22-2-200-2200-220000i2−i2−i2i2i2−i2−i2i2−222−2−222−2−2i2i00−2i2i0000000000
χ2922-22-22-2-200-2200-220000−i2i2i2−i2−i2i2i2−i22−2−222−2−22−2i2i00−2i2i0000000000
χ3022-22-22-2-200-2200-220000−i2i2i2−i2−i2i2i2−i2−222−2−222−22i−2i002i−2i0000000000
χ312-222-2-22-2002-200-2200002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−2i2i002i−2i0000000000
χ322-222-2-22-2002-200-2200002−2−22−222−2−i2i2i2−i2i2−i2−i2i22i−2i00−2i2i0000000000
χ332-222-2-22-2002-200-220000−222−22−2−22i2−i2−i2i2−i2i2i2−i22i−2i00−2i2i0000000000
χ342-222-2-22-2002-200-220000−222−22−2−22−i2i2i2−i2i2−i2−i2i2−2i2i002i−2i0000000000
χ352-222-2-22-200-22002-200002−22−2−22−22i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i00000000
χ362-222-2-22-200-22002-200002−22−2−22−22−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i00000000
χ372-222-2-22-200-22002-20000−22−222−22−2i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i00000000
χ382-222-2-22-200-22002-20000−22−222−22−2−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i00000000
χ392-2-222-2-222222-2-2-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ402-2-222-2-222222-2-2-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ412-2-222-2-22-2-22222-2-222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ422-2-222-2-22-2-22222-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ432-2-222-2-22-2-2-2-2-2-2222222000000000000000022-2-2-2-22200000000
χ442-2-222-2-22-2-2-2-2-2-22222220000000000000000-2-22222-2-200000000
χ45444-44-4-4-44-40000004-40000000000000000000000000000000000
χ46444-44-4-4-4-44000000-440000000000000000000000000000000000
χ4744-4-4-4-44400004-400004-400000000000000000000000000000000
χ4844-4-4-4-4440000-440000-4400000000000000000000000000000000
χ494-44-4-44-4400004-40000-4400000000000000000000000000000000
χ504-44-4-44-440000-4400004-400000000000000000000000000000000
χ514-4-4-4444-44-4000000-440000000000000000000000000000000000
χ524-4-4-4444-4-440000004-40000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).